Mathematics

The key here is recognizing the ambiguous case (SSA) of triangle solving—when you know two sides and an angle opposite one of them. Since $A = 136°$ is obtuse and you're given the side $a$ opposite to it along with another side $b$, you need to check whether a valid triangle can actually exist. The critical question: is $a$ long enough to "reach" from angle $A$ to form a closed triangle with side $b$? Compare $a$ to $b$ and consider what an obtuse angle means for the geometry.

The key here is recognizing the ambiguous case (SSA) of triangle solving—when you know two sides and an angle opposite one of them. Since $A = 136°$ is obtuse and you're given the side $a$ opposite to it along with another side $b$, you need to check whether a valid triangle can actually exist. The critical question: is $a$ long enough to "reach" from angle $A$ to form a closed triangle with side $b$? Compare $a$ to $b$ and consider what an obtuse angle means for the geometry.